Dynamics of mixed lump-solitary waves of an extended (2 + 1)-dimensional shallow water wave model

2018 ◽  
Vol 382 (45) ◽  
pp. 3262-3268 ◽  
Author(s):  
Harun-Or-Roshid ◽  
Wen-Xiu Ma
Keyword(s):  
Shallow Water ◽  
Solitary Waves ◽  
Water Wave ◽  
Wave Model ◽  
Shallow Water Wave

scholarly journals Dynamics of Bright Solitary-waves in a General Fifth-order Shallow Water-wave Model

2004 ◽  
Vol 59 (4-5) ◽  
pp. 257-265
Author(s):  
Woo-Pyo Hong
Keyword(s):  
Solitary Wave ◽  
Shallow Water ◽  
Solitary Waves ◽  
Water Wave ◽  
Wave Model ◽  
Wave Number ◽  
Solitary Wave Solutions ◽  
Shallow Water Wave ◽  
Wave Solutions ◽  
Fifth Order

New analytic sech2-type traveling solitary-wave solutions, satisfying zero background at infinity, of a general fifth-order shallow water-wave model are found and compared with previously obtained non-zero background solutions. The allowed coefficient regions for the solitary-wave solutions are classified by requiring the wave number and angular frequency to be real. Detailed numerical simulations are performed to demonstrate the stability of the solitary-waves and to show the soliton-like behavior of two interacting solitary-waves. For a large nonlinear term we show the formation of a bounded state of two solitary-waves, called bion, which travels as a single coherent structure. - PACS numbers: 03.40.Kf, 02.30.Jr, 47.20.Ky, 52.35.Mw

Multiple soliton, fusion, breather, lump, mixed kink-lump and periodic solutions to the extended shallow water wave model in (2+1)-dimensions

2020 ◽  
pp. 2150138
Author(s):  
Hajar F. Ismael ◽  
Aly Seadawy ◽  
Hasan Bulut
Keyword(s):  
Shallow Water ◽  
Water Wave ◽  
Soliton Solutions ◽  
Quadratic Function ◽  
Wave Model ◽  
Simple Method ◽  
Shallow Water Wave ◽  
Hirota Bilinear Form ◽  
The One ◽  
Physical Phenomena

In this paper, we consider the shallow water wave model in the (2+1)-dimensions. The Hirota simple method is applied to construct the new dynamics one-, two-, three-, [Formula: see text]-soliton solutions, complex multi-soliton, fusion, and breather solutions. By using the quadratic function, the one-lump, mixed kink-lump and periodic lump solutions to the model are obtained. The Hirota bilinear form variable of this model is derived at first via logarithmic variable transform. The physical phenomena to this model are explored. The obtained results verify the proposed model.

The global weak solution for the shallow water wave model of moderate amplitude

2016 ◽  
Vol 96 (4) ◽  
pp. 663-678
Author(s):  
Yunxi Guo ◽  
Yonghong Wu ◽  
Shaoyong Lai ◽  
Lou Caccetta
Keyword(s):  
Weak Solution ◽  
Shallow Water ◽  
Water Wave ◽  
Wave Model ◽  
Global Weak Solution ◽  
Shallow Water Wave

scholarly journals New dark-bright soliton in the shallow water wave model

2020 ◽  
Vol 5 (4) ◽  
pp. 4027-4044 ◽  
Author(s):  
Gulnur Yel ◽  
◽  
Haci Mehmet Baskonus ◽  
Wei Gao ◽  
◽  
...  
Keyword(s):  
Shallow Water ◽  
Water Wave ◽  
Wave Model ◽  
Bright Soliton ◽  
Shallow Water Wave
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